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Force normal to shear force for given cutting force, thrust force, and shear angle Formula

GoForce normal to shear force for given mean normal shear stress and area of shear plane Formula

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Normal force induced on job is the force which acts in perpendicular direction to the shear force. Check FAQs

F N = F c \cdot \sin (ϕ) + P a \cdot \cos (ϕ)

F_N - Normal Force Induced on Job?F_c - Cutting Force in Machining?ϕ - Shear Angle in Machining?P_a - Axial Thrust?

Force normal to shear force for given cutting force, thrust force, and shear angle Example

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Here is how the Force normal to shear force for given cutting force, thrust force, and shear angle equation looks like with Values.

Here is how the Force normal to shear force for given cutting force, thrust force, and shear angle equation looks like with Units.

Here is how the Force normal to shear force for given cutting force, thrust force, and shear angle equation looks like.

634.5 = 772.3185 \cdot \sin (45) + 125 \cdot \cos (45)

634.5N = 772.3185N \cdot \sin (45°) + 125N \cdot \cos (45°)

634.5 = 772.3185 \cdot \sin (45) + 125 \cdot \cos (45)

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Force normal to shear force for given cutting force, thrust force, and shear angle Solution

Follow our step by step solution on how to calculate Force normal to shear force for given cutting force, thrust force, and shear angle?

FIRST Step Consider the formula

F N = F c \cdot \sin (ϕ) + P a \cdot \cos (ϕ)

Next Step Substitute values of Variables

∴

F N = 772.3185N \cdot \sin (45°) + 125N \cdot \cos (45°)

Next Step Convert Units

∴

F N = 772.3185N \cdot \sin (0.7854rad) + 125N \cdot \cos (0.7854rad)

Next Step Prepare to Evaluate

∴

F N = 772.3185 \cdot \sin (0.7854) + 125 \cdot \cos (0.7854)

Next Step Evaluate

∴

F N = 634.499996234074N

LAST Step Rounding Answer

∴

F N = 634.5N

Force normal to shear force for given cutting force, thrust force, and shear angle Formula Elements

Variables

Functions

Normal Force Induced on Job

Normal force induced on job is the force which acts in perpendicular direction to the shear force.

Symbol: F_N

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Normal Force Induced on Job

Cutting Force in Machining

Cutting force in machining is the force in the direction of cutting, the same direction as the cutting speed.

Symbol: F_c

Measurement: ForceUnit: N

Note: Value should be greater than 0.

Formulas to find Cutting Force in Machining

Shear Angle in Machining

Shear angle in machining is the inclination of the shear plane with the horizontal axis at machining point.

Symbol: ϕ

Measurement: AngleUnit: °

Note: Value should be greater than 0.

Formulas to find Shear Angle in Machining

Axial Thrust

The Axial Thrust is the resultant force of all the axial forces (F) acting on the object or material.

Symbol: P_a

Measurement: ForceUnit: N

Note: Value can be positive or negative.

Formulas to find Axial Thrust

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

Other Formulas to find Normal Force Induced on Job

Go Force normal to shear force for given mean normal shear stress and area of shear plane

F N = 𝜏 \cdot A

Other formulas in Force Normal to Shear category

Go Cutting Shear Force given Uncut Chip Thickness and Shear Angle

F s = \frac{τ shr \cdot w cut \cdot t chip}{\sin (ϕ)}

Go Shear angle for given Resultant force, force along shear force, friction, and normal rake angles

ϕ = α rake - β friction + \arccos (\frac{F shr}{R o})

How to Evaluate Force normal to shear force for given cutting force, thrust force, and shear angle?

Force normal to shear force for given cutting force, thrust force, and shear angle evaluator uses Normal Force Induced on Job = Cutting Force in Machining*sin(Shear Angle in Machining)+Axial Thrust*cos(Shear Angle in Machining) to evaluate the Normal Force Induced on Job, The Force normal to shear force for given cutting force, thrust force, and shear angle is given from the orthogonal cutting process using Merchant theory. Normal Force Induced on Job is denoted by F_N symbol.

How to evaluate Force normal to shear force for given cutting force, thrust force, and shear angle using this online evaluator? To use this online evaluator for Force normal to shear force for given cutting force, thrust force, and shear angle, enter Cutting Force in Machining (F_c), Shear Angle in Machining (ϕ) & Axial Thrust (P_a) and hit the calculate button.

FAQs on Force normal to shear force for given cutting force, thrust force, and shear angle

What is the formula to find Force normal to shear force for given cutting force, thrust force, and shear angle?

The formula of Force normal to shear force for given cutting force, thrust force, and shear angle is expressed as Normal Force Induced on Job = Cutting Force in Machining*sin(Shear Angle in Machining)+Axial Thrust*cos(Shear Angle in Machining). Here is an example- 634.5 = 772.3185*sin(0.785398163397301)+125*cos(0.785398163397301).

How to calculate Force normal to shear force for given cutting force, thrust force, and shear angle?

With Cutting Force in Machining (F_c), Shear Angle in Machining (ϕ) & Axial Thrust (P_a) we can find Force normal to shear force for given cutting force, thrust force, and shear angle using the formula - Normal Force Induced on Job = Cutting Force in Machining*sin(Shear Angle in Machining)+Axial Thrust*cos(Shear Angle in Machining). This formula also uses Sine (sin), Cosine (cos) function(s).

What are the other ways to Calculate Normal Force Induced on Job?

Here are the different ways to Calculate Normal Force Induced on Job-

Normal Force Induced on Job=Shear Stress*Shear Area

Can the Force normal to shear force for given cutting force, thrust force, and shear angle be negative?

Yes, the Force normal to shear force for given cutting force, thrust force, and shear angle, measured in Force can be negative.

Which unit is used to measure Force normal to shear force for given cutting force, thrust force, and shear angle?

Force normal to shear force for given cutting force, thrust force, and shear angle is usually measured using the Newton[N] for Force. Exanewton[N], Meganewton[N], Kilonewton[N] are the few other units in which Force normal to shear force for given cutting force, thrust force, and shear angle can be measured.

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Force normal to shear force for given cutting force, thrust force, and shear angle Formula

​GoForce normal to shear force for given mean normal shear stress and area of shear plane Formula

Force normal to shear force for given cutting force, thrust force, and shear angle Example

Force normal to shear force for given cutting force, thrust force, and shear angle Solution

Force normal to shear force for given cutting force, thrust force, and shear angle Formula Elements

Other Formulas to find Normal Force Induced on Job

Other formulas in Force Normal to Shear category

How to Evaluate Force normal to shear force for given cutting force, thrust force, and shear angle?

FAQs on Force normal to shear force for given cutting force, thrust force, and shear angle

Variable Name

GoForce normal to shear force for given mean normal shear stress and area of shear plane Formula